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Existence and uniqueness of solutions of elastic string with moving ends

✍ Scribed by M. A. Rincon; I-Shih Liu

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 132 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.517

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✦ Synopsis

Abstract

A mathematical model for the small vibration of an elastic string is considered. The model takes into account the change of tension due to the movement of the end points of the string. Under the assumptions that the speed of the moving ends be less than the characteristic speed of the equation, the existence and the uniqueness of local weak solution and global strong solution are proved. Copyright © 2004 John Wiley & Sons, Ltd.

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